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Finding the Fourth Proportional to 1,300.80, 1,942.40 and 1,023.80

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Solution

The fourth proportional to 1,300.80, 1,942.40 and 1,023.80 is: 1,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.80 : 1,942.40 = 1,023.80 : x
  2. Step 2: Convert to fraction form
    1,300.80/1,942.40 = 1,023.80/x
  3. Step 3: Cross multiply
    1,300.80x = 1,942.40 × 1,023.80
  4. Step 4: Simplify right side
    1,300.80x = 1,988,629.12
  5. Step 5: Solve for x
    x = 1,988,629.12/1,300.80
  6. Step 6: Final answer
    x = 1,528.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.